Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techn...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2008, 2008
|
| Edition: | 1st ed. 2008 |
| Series: | Lecture Notes in Computational Science and Engineering
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Decomposition Frameworks
- Schwarz Iterative Algorithms
- Schur Complement and Iterative Substructuring Algorithms
- Lagrange Multiplier Based Substructuring: FETI Method
- Computational Issues and Parallelization
- Least Squares-Control Theory: Iterative Algorithms
- Multilevel and Local Grid Refinement Methods
- Non-Self Adjoint Elliptic Equations: Iterative Methods
- Parabolic Equations
- Saddle Point Problems
- Non-Matching Grid Discretizations
- Heterogeneous Domain Decomposition Methods
- Fictitious Domain and Domain Imbedding Methods
- Variational Inequalities and Obstacle Problems
- Maximum Norm Theory
- Eigenvalue Problems
- Optimization Problems
- Helmholtz Scattering Problem